{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "a12cff04-dcca-4bc9-a360-0d60916f67d8",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "756c029c-db22-474c-9ff4-a337c3a263fa",
   "metadata": {},
   "outputs": [],
   "source": [
    "def PCA(X, d):\n",
    "    #X(m, n),n个m维列向量\n",
    "    #中心化\n",
    "    X -= np.sum(X, axis=1).reshape((X.shape[0], 1))\n",
    "    \n",
    "    #对XX^T做特征值分解\n",
    "    lamda, W = np.linalg.eig(X.dot(X.T))\n",
    "    \n",
    "    #排序\n",
    "    idx = np.argsort(lamda)\n",
    "    return W[:, idx[-d:]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "6d0d54ea-fec1-4d1a-9d4b-3a8429c37a7c",
   "metadata": {},
   "outputs": [],
   "source": [
    "def Print(X):\n",
    "    ax=plt.subplot(111,projection='3d')\n",
    "    ax.scatter(X[0, :], X[1, :], X[2, :])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "67bdd005-e5c6-46b6-a3bd-a657d94f25fd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 100\n",
    "miu = [0, 3, 2]\n",
    "sigma = np.array([[5, 0, 0], [0, 1, 0], [0, 0, 3]])\n",
    "X = []\n",
    "for _ in range(n):\n",
    "    X.append(np.random.multivariate_normal(miu, sigma))\n",
    "X = np.array(X).T\n",
    "Print(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "b4485ed7-188a-4480-9f02-84567ef2f068",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.array([[1, -1, 0], [1, -1, 0], [0, 0, 1]]).dot(X)\n",
    "Print(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "4f3f77c7-8970-4141-a3ef-eb978faa8eb4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(2, 100)\n"
     ]
    }
   ],
   "source": [
    "W = PCA(X, 2)\n",
    "X_hat = W.T.dot(X)\n",
    "print(X_hat.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "c902d01d-2ab6-40bb-b279-0badb22e2fa5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_hat[0, :], X_hat[1, :])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "f470c620-9a6d-4ef2-adc7-906f6d235ffc",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import fetch_lfw_people\n",
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "01a60eda-a53b-41b2-b164-0af2cfc7800e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1348, 2914)\n"
     ]
    }
   ],
   "source": [
    "faces = fetch_lfw_people(min_faces_per_person=60)\n",
    "X = faces.data\n",
    "print(X.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "892ffddc-885d-43a5-9258-0ac55fbf5097",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(4, 5\n",
    "                       , figsize=(8, 4)\n",
    "                       , subplot_kw = {\"xticks\":[],\"yticks\":[]}\n",
    "                       )\n",
    "for i, ax in enumerate(axes.flat):\n",
    "    ax.imshow(faces.images[i, :, :], cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "2c964573-c54d-4d75-9251-58fb54d24e60",
   "metadata": {},
   "outputs": [],
   "source": [
    "W1 = PCA(X, 300)\n",
    "V = W1.T.dot(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "61cc1ad5-1b8d-48ed-aafc-28f70ad7365d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x576 with 150 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(10, 15, figsize=(20, 8), subplot_kw={\"xticks\": [], \"yticks\": []})\n",
    "for i, ax in enumerate(axes.flat):\n",
    "    ax.imshow(V[i, :].reshape(62, 47), cmap=\"gray\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "10b59081-6b91-42ad-816c-f60901e70af6",
   "metadata": {},
   "outputs": [],
   "source": [
    "T = W1.dot(V)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "71aa9a2c-bcbe-4ff8-a9a1-32bbdf7b6c6d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AMgeDgVqtls7OzjQcDjdS0cVioWw261kMjEQi6na7JslbLpdqNBpGG0kyZ8j+cQtPICkXkXKgXLTpdbhArNFo1OgdeP+dnR0r9rDXccq1Wk3j8VjtdltnZ2f6/PPPbQ7S6bQkfUGeBwq+zshiXAdH0OffbvHRzR4lmWqEvXBVhsbvFQoFT8THeep2uxZgGB+pO+uAw0skEgZyRqORScTcDI0giuYaBdO2tYlGo3rvvfeUzWbtdXHykUhEg8FA9Xpdk8lE3W5X4/FY5XJZyWRSiURiIyNzgRvcPg54OBxuZPzX2StTEHCiFM/grNgA8/lcjx8/1s9+9jOl02ndu3dPR0dHBvVdaRGFjMePH+vP//zPdXp6qmg0qmw2a0L764zDQDpTq9U0nU6VSCS0Xq9VLpe1s7Nj+kvGNRgM1G63N2gCSPTBYGCpO85XkmlyrzNXKTEYDNTtdm3B4F4JSmQGmUxGy+WlPrnZbKrZbKrb7WoymSiTySifz9vhQjwvybjL68x1pu122xwlm5ADxIFnk4Ig6vW6ZrOZHVDmYzabKZVKGWKYTqcblNJVi0QiFoxSqZQ5//l8rkajYXOVSCR0dHSkVqul6XRqxQsOfq/XU6PR0PHxsWq1mkKhkMrlsikbxuOxpywPm0wmKhQKarVaevTokUaj0YYDPDg40Hw+Vzab3agNIB0iULqOTtrMqNBKb1uX2Wymdrutfr+v8XhsWeIvm4w0m82Uz+eVSCQsqASDQfX7fXU6HfX7fZXLZR0dHUmSpd5kosgcXdrsqqGWQOLJmrBv3PQZcz/vem3NJvYeKEpcqVYwGNzoDbhqbgHUpanISAhQbrAbDofmL0Dg+XzeHGAqlVKr1aJJybKtvb29rfsjkUjo9ddft4DL7wcCAdXrdSuchsNhNZtNm6/9/X3LDvv9vtbrtdrt9oZmPxaLqVAoKJlMmqrHq0bwyioIV2nAhk2lUsbprddrNRoNnZ6eqtPp6PHjx5pMJlZdZLF/2aWiVqulZ8+eSZK+9rWvKZVKqdvt6vHjx1vHAdrDUTEh7XbbKsbT6VTFYnGDD+73++r1eur1ehoMBppMJhoOh5Yq5/N5a2aQZI0dXqkuBxS6geor6C0SiVhWcPfuXSWTSbVaLdXrdUM4i8VC1WpVOzs7JlBH1A0ycRHHVQPxj0Yjc+ogCXS4vDYqBNah1+up1Wqp0WhYRXg2mxkyy+fzms/nNidQRtdZKBSy4gcp/GQy0ePHjy01rVarKhQKxg2Px2MLUtA1x8fHOj8/13w+N3TMuGezmWq1mvL5vKXhV419CKqp1WqWMXU6HUPDg8FAe3t7KhaLVoAZDAbq9XobxRk3/QQFuamlV7EYaqFQKGhvb087OzvK5/O2ZjgZKCRqE7wXFBuFObTBi8VCw+HQUNtoNPKsVbBu8L2ABFcJQRBk7FBAjC8Siajdbqter6tUKimXyymXy1lwhGLZ5oBxui69w+uPx2MLzplMxgDTYDBQp9NRMplUp9Mx9ElBE5QKBXJwcKA333xTd+/e3TqOcDis4XC4oW+ezWY6PT1VOp3W0dGRzWkoFFKr1dLHH3+sVCqlcrmsTqejer2uVqul58+fm79JJBKqVquaTCZGLb0MJLySA4bDzOfzkmSoiLQXrpBDmEgk1O/3dXZ2pkQioVKpZJFzMBjo9PRU5+fnikQiunXrllKplHFCbgHkOoODwemxORCuSy82ERubNHY+n6vX62m9Xlu6T4rGRga9kdZsM1JYDulwOFSj0bD0iIhMRHQVAIFAQNVq1RAnCLFarRrX5M7rtgPGhkTK5vK1ZBLdbleVSsUq2ZlMRrPZzJDW+fm5yZhcjm82m6nZbCqVSln6vm1jh0KXnWz8HoUR1isQCOju3bvK5XJ69OiR/T/oI5vN6uzsTOfn5xoOh5pMJvr8888lSXt7e1qv16pWq4bovALj8+fPzXmOx2Pt7u4a8my1WhoMBvr000/1/Plz3b17V2+//bbty2azqXq9bml/PB5XpVIxGR1t36vVyvOQETiz2awymYxlQtls1powmF8QIE7S5T3H47Gazabtq2KxaCgQpNrv97fuUbeKj0MDWcJRz+dz46bj8bjNLT+DDK5Wq+nhw4cqFAo6PDzU/fv3bd2R1m0zKB8yim63q06no4uLC0OU1B3csa9WK926dUuDwUCPHj1Sq9VSp9OxvV2pVHT//n2Fw2H1+31VKhXdunXLZKDX7VPegzHRubZcLvU//+f/1Gg0Urlc1t7enlKplAE2ismPHz9Wq9Wy8wTyTafT6na7Ojk5sWLhl0pBNJtNdTqdjcVPp9NarVaGvOr1ui4uLkzitVwulc/nNR6Ptb+/r1wuZ9wWzuvhw4cb3CQyj+ssEAgYYqJKfHp6qm63a+kYafj+/r7u3r2r+Xyu58+fq1arqd/vazgcGroklSG9GAwGRqlcldhdNRBROBzW+fm5Hj16ZNxQqVTS3bt3bayk88lkUgcHByqVShZl/+zP/kzPnz83RHj//v2NTMPl5K4ahxZuLx6Pq9lsajgcqtvtWotxq9XSzs6Ovv71r6tYLOrp06d68uSJarWaIV8QEo7DlVD9KvORTqeVyWTsc/Aa8GKlUkmhUEiHh4eWSkuywx8IBJTL5bS7u2v8ezwe1927d/XRRx/p4uJC1WrVU4FAACajkS6r3qenp4YsDw4ONJ1OjdMul8uG+KAMEomEDg8PbW9IMjUCrdRe8kDWgyBPEbDT6SidTmswGBiNB6Jdr9emvR0MBppOp8pms6rVavr444+Niy0WiwYUoAC8ik4ERe4U4T34O5lsPp/Xcrm0/R8KhSxznEwmCgaDevbsmZbLpe7cuaPF4rIbNZPJbLzfdYZkTrpErvV6XaPRyIqqzWZTDx480PHxsenZWav79+8rmUzqF7/4hVFmnP2TkxMNh0O9+eabKhQKev78ub72ta9tzZCCwaBlrEjpwuGwrRNrhM630WhotVopm81uZAbQRnw2zkehUFC321Wz2fQETtIrOuBwOCwu4wHhSNLFxYVRD3xNJhPt7e1ZQQbeuNVqKZlMGhWwu7ur1Wqlhw8fql6vWwGPg3OdgTzS6bRyuZzC4bD29/d1+/ZtnZycaDab6eDgwOQyqVTK9KC5XE7xeFzValUPHjzQ6empKRKOjo6M+3nZppYuIylpGM5lZ2fHCmw4YZBxKBTSYDCw8WcyGUPi7777ru7fv69KpWJdgBTvBoOB50K6cqrBYKDj42NJMn4sm81aB1s6nValUlG5XFatVlMikdDOzo6CwaByuZz+8i//0tDjdDrVwcGBdnd37fVfJrtynQJqDITtbhGIajPcOylfNBpVoVDQ/v6+gsGg7t69a8L9fD6vi4sLyx68HE61WtXu7q61nFLAWq1WqlQq2tnZsYwOlDOZTOz7vV5Px8fHWiwWun37tnZ3d5XJZCzdBBy4aOo6cxuDHj16pPl8rnq9Lkk6ODhQoVCw1N9N+akLoPh57bXX9MYbb2w4UgIl95tsM7hWVy3hcseAk2AwaOdoZ2fHCuhPnz5Vo9GwuzPIhm7fvq1gMKhms6nd3V0DGF57A/qG2kckErE6xMnJic7OzgyUpFIpxeNx7e7u6t69e9YjAFi4deuWOfVUKrWhs38ZZYfc8/DwUHfv3tV6vTYgRa0B34I6y6WqoEi63a6CwaB2d3f1x3/8xxoOh3rrrbfsHhgvNYb0ayDgcPiyH5yD1ul0LEIUCgWVSiUNh0Pt7u7qzp07mkwmKpfLyufzGg6HisfjOjo6sghRqVRUKBTUbDZ1cHCgarWq4XC4IYq+anwgquzJZFKVSkWr1Ur7+/tWqaavHB1suVzW/v6+FVl2d3c1m82UzWZNE4jToNjh5XAoGBIsuCeBohG/ixgbp+aOj8ILhUpXRifJ2pxf1lNeKpUstfvwww9VKpU0GAz0+PFjmx/aLzlYsVjMHAs8L11VhULBKvfJZFLFYtEcllcxkAwCJH5VZkRaxr9BOdLl7XcESbcoyZwgT8RBbrNAIGCFR1L/o6MjczggWhBmoVCwQmAulzMFx8nJiaXnz549Uz6fV6lUMgriZdpb6YVmnc7Icrmsd99914LCarVSrVYzZxQMBo1GIwBHIpc3uaHIYP+AJkFnXqohVy4WjUZVrVaVzWZtrQiu3FZGXaRQKOi1114zB8+Ze/vtt/WNb3xDu7u7hh7JdLwMugyU3Wq1NJ/Plc/nLfiNRiOdn58rEAgon8/r8PDQwNY3v/lN8x2xWMzow0qlov39faXTaWuZ3mZuAFosFqpUKlZMhV6FF0dBQg2FgiHrSJZTLBbVbrf14x//WA8fPlQ6ndbu7q4nVSb9Gg4YbpCutWw2a9KTnZ0dxeNx3b592zgmJhqFwf7+vvL5vO7fv2/FMEn68MMPjfNqt9uGmLwW8qoMBImZywG7mkZX5A+vRCECJC5dphOkpl4HDCfGa7oX6CBHGY1GG+2brnICRAqSiUajpkZwdZmJROKlDgfSv1KpmEYWidd8PrcxUoSiKBWPx+3GtGg0ujEn8I/w7dBP2wxVC0qZTCazge5QUSC5gl9EC40T4E8KG8wDbdquEH7bOBaLhWUnsVhMg8HAikTQZ+fn50aBIUMkIBwdHalSqRhqowCIFIrOQTKabQbHCH8MdQG4oA3dbdhhbxEU6R50C4uJRML096ydlywPFHxVCcHnQVoKZYTcL51O65133rEiGNTU1XshXlZsYr0ARHt7exoMBpaRuql9u922udvd3TU+NxKJ6PDwUN/4xjf0+PFjCx5QTfl8XuVyeaNHwWt/LJdLDQYDVatVHRwc6PHjx+ZDOp2OXUQUj8dVLpetV2G9XqtYLBp1iZ/64IMPdHBwoMFgoOfPn6vX65m8cpu9kgPGoUmyCAz53ul0LNXMZDLq9/tWBHKlJblczlLBW7du6cmTJwqHw4Yq6ExzN+l146DZgdTBvc0M50WUpILMJkgmkzaR6FYRUpPiudzrNsTH+FBDuEUEHAZoFlThdqO5wnzm1BX549DcFthtBnKE03M/F1EclAeSohJOQEVOA+rmdUDDbCSvdXHH6RagpE0dOa+BHtRdl8ViYWkuawptQbHRS95DitvpdKy70u1+47pNMhUaHlhLDvVsNrO0FEfjNifgNLatDevOa7Av3C5IAitFPhwAgZrgyRyiYb/q/LzOi6uP5zNcvWsil8vZxT7s2eVyqWw2a/Kr4+Nja3A5Pj42p0fgcBs+rjP3s1erVVOJcGcHsjtoMpp0isXixj5+/fXXVa1W7WxQ2KYzl7PrpdHG1zSbTRWLRVUqFe3t7en8/FyTyUThcNjefzAYWNZPoY6a1tOnT43CKpfLyuVy6vV6yuVyRll8aQ4Yh0AxgehZqVQsNYS7YRFYWAoqyWTSNvnOzo5ardbGbV/hcFi5XM6zuCHJZFo4v2QyaWkqMhME+ygKQBWJREK5XE6SNpAD6Bl9putAt80HxSbG73YBctUmY8TRjsdjTSYTa0llDNA7bEyqz26b9DbDUaXT6Y0uMNKj1WplXWogHMYGDQOqwxmRqlMg4o4KL8OJ83v8PHPCWnFV6Hw+N4kaB4z/p+2YdUA22Ov1LD3cZuPxWI1Gww4GVNVyuVS329V0OtWbb75pfDXNKAR31tF1tu6edAvML+PmUQfweqTAOB548quFRTKmTqdj+5bgQHCSLgNOJpPxzBjd13WbLng97nTgDNFEdPv2bctGU6mUabDd+7Nx7u5d3NcZiJuMC+qJPY7aBK55vV6r1WrZWUGdQ00HiR7vx96jo9OLksFJIxcdj8eKxWJ67bXXzKHPZjN1u10LgKiVoNeohz158sSoVKSxd+/eVblcNoXPNnslB7xYLNRqtSyNJFoja+p2u3bIcX7JZHJD08omZOF3dnb0/PlzuwgcpMim2zaBpG60BYLEidykZ6S/GAVEV6ICwoLcB73jhLc5vsVioXa7bRPsBh5QwXK5tM3N5Rw0kPT7fSsiuJwizobP595Udp0hCCcj4RJpDthyeXlhttvtQ1DAuY/HY+P8cD7MY6fTMbqIzGGbgdpcET8aV7f9Nh6Pm+YWLXa/37eUj0NHNkMVHnka67ZtPjgwjUbDshsCII6jVqsZb+hmUNAmHFL2EXsLOsXrwijGR+MHr8FYADCultxF0wQx9gT0DQUilzpxx7dtPtjHZF6SNjIkvucWe5FY5XI55fN5FQoFnZ6eGnfuavG99oQ7DjpFAXGAD4qljGGxWOjJkyc6OTlRtVo1yoogdXp6apSEm+2tVisL6NsCEnsSipB25kKhoGKxaIEauV6hUDAFBGvJef7KV75iUjoK6pVKRZVKxZp6vrRWZEnGz0iy1J47GUC3kowjpurL4aIVkYuZiWwgMdDB06dPbXNdZ0SneDxuUQqUweGQZIU4HCwCe1IDUhUaQ6hC44y9NpfbOcWmvboRQFY4n+FwaBww40Fr7Hb/uLpDxrLN6IAjxYbHAx3Q1joej02HSno9Go3UarWsAAVSJWvg7orRaKThcGgUxjbjc4AW+VmaAej6ajQa1nK7WCxMKULw7vf7NmegYdbG7aDaZsyli2DonqNxCH7blfCR1YA2XcqI7kEaGXBEXk7YdSpQTvDzAJjVaqV+v2/cv/TiXg0KguhzcQDQb+yRbXwn+8NtGgHNM4esuXsL4FVudz6f65NPPtHDhw9NpvnGG29YxkKw8DLONgVv5p/PDBCZzWY6Pz/Xp59+qsPDQysMj0Yjm69cLqdPP/1U8/lcOzs7ltUNBgPVajUDPdcZAZTPSa+A2xFJrQO+m4CxXq9tLPl8Xvv7+9rZ2TGaDiSNlJEi4zZ7JQdMNEYj5x5SKqigG9I5pCVUV3meF/xwo9FQr9ezTrpAIGC6Q6+Nze/u7+9bIOAgQYVIsqsukaFx45Hbiw4acR8F9KsYXCoH0k1tGOOjR4/U6/V0//59c6rPnj1Tt9s1iVez2TTk6abaOG/ey8soKMB1slHRNOKIyEQIABS9QAKgRBw3t0OB1l52+YyLqFypGN1g2WxWFxcXOj09Na0nh54mHUmWYpMWSzIelTn2QnwcEORC6E1DoZAeP36si4sLa87A0bgKDYIq1XR0udAOrjP2mgvmAcTEuQAdz2Yz9Xo9Q4GMBUpvPp+b9A4ECb1D6k5qv83Y05xZ3t+tM9AaDb1B8KJjjPrFL37xiw3d/P7+vhW+vNaEPUUhEwqCALder+1RZ91uV59++qn6/b51J+IvON9QSr/4xS/UaDQM0NHY8rK7Qlzds1tMX60u7yE5OTmxjjYUQIwdkMO5daWBcPr4E3zjNnslBwzP40phSI/YjMB71AxcJJLP59Xv9/XkyRP1+33l83lNp1PV63WTmMDRjkajrc/7ki6jeK/XU7/f1/7+viRtoFvQGpewkAJLL0TYaGuZPBflSPqCA7nO3KYEDgSFq0Dg8go/Ho/CvQZIobg0ulQqGYpmc4HE+azSZgF0m0H1cLMTaO7i4sLuaQBtMUZSq+FwuNEHT9sr64nzfdnlM6ArV/8YCoVMogiFQfpHCo42OxAI6OTkxO6iRYbGXOAovTY1SIvg4mYRFGc//vhj1et1LZdLlUolTSYT1Wo1VatV3blzxxwK6Axa5bonrGwzkKdbG3D3FIF/uVzaXR1U1ZlvqBr2Nk1QkowfZ+9sczjIuo6OjjayB5Azd5iAZFlz9iHnIp/PGzrs9/uaz+d6/fXXdXR0tLE3vfTZODh8BI6PrrbpdKonT55oOBzq1q1b+vjjj/Xw4UMFg5f3THA+UqmU7t27p+VyqY8//th0y9A5L6NkJpPJRgEYNEz2NZlM9LOf/UylUsnovPl8rvPzc/MXg8HAHDBrBIUJ9eBmGNfZKztgVAWk0fBQbicPHNfFxYWlog8fPrTbwkKhkM7OztRut01EDueHc3zZQQfVzOdzozA4JJDr8MqLxeWVflz/eHBwYBeLU3hjQzBZOBIv7pXPxoFwixugCKrE8L60oErauA0L9O4WfXgPUJmX0d7sBgIKXPC3P/vZz3Tr1i1DEvSy1+t13bp1Szs7O5Z6hcNhO+CMhbF5rcvVYmE0GrXGD+b54OBg46AjPfr8888Vi8V0fn5ujxByZVls5pdVuNkf8/nckBpoMhqNWhdeo9HQkydPFAgEdHh4aI6EQwWN5fLacKguut1mwWBQw+FQmUzGfgfKgzMUCoXsvmKcLlmBq8yBFoG+cAt5rNe2sbD/9/f37fWYJ+5RWa1WlqGyNs1m0zKVH/3oR0Zz4cDIrFhzsgUv1RAInKDBGZAuA0qj0dDJyYnefvttFYtFLZeXt+fRCRgIXF51QONHKBRSo9HQ06dP7Z4RHL0Xhcl5Z54Bk9BhOzs7Oj091fHxsZbLpXZ3dzWZTPTZZ59pMpkol8uZ5Mzl+NnT7pn90hAwzhV0wAUdcJ5wp8hBBoOByuWyKpWKHj58qHw+r9dee83QMRescEOYezGHV3XZTWVcp0nKmkwmdefOHXU6HX366aeaTCaqVqv6xje+YUVDUjxp8zE6cEKu3GibgSRwwu6CgiDR9ZKmuRft8Jldp8zCoYpw/+61LsgCieI4zkDgsisMLfFkMtGDBw/s7+FwWNVqVZVKRYeHh+YgeA1SbByyFwoH3fG72WxWu7u7pqdlb1BMqlarRvu0Wi09efLEKulX14jPwp54WTZAes7Puo018Xhc9+/ft9ZVJEP8LGvB2JgP6cUzvnDGXuoUmipIpVlDfpc/Sf/5efd7nC9qHRx26YWsD+WMl1qH9l33ukQCWTAYNIqQcwt186Mf/Ui3b99Wo9Gw28igQkDfFCbdRiKv/YGjIk2XZO3yyMIymYxRVDzNmWIZD10IBAJ2Z+/x8bGtOaDFix5y9ze0F3OCLvlrX/ua0um0ZWTsH64RePPNN7VYLKxZyfVFaOHb7faX54AxBjwejy11oprOmyF8R1v4zjvvGE86Ho+V/+Wj3Fut1gZyYuJII64zoj/pNr/PBFAoymazevvtt7Ver22cRGr4Hg4Y43a5MQ7etgPmImeQBamMyxexGK6DxvliOGHSWqgNt3iyzUAl8KMcApohCoWCIUqKl9AnPDGD2+pCodAGgmZO3HnxSjH5OVqcy+WyoUnWidvGQqEXTzShMEgqSsMCNIj7+VkXrznh/92qP91mZF3cVewGcNAfQe2qDpv9xX7z2h8EUCgm945a9g7BWnpxOTlZEQjVlb5x2OGJCeheBbDV6vJyok6nY5I4N3hwWZS75zhbDx8+1P379/XOO+/o008/VaPRMFABZebOBZnodcbdE7RfMzbqQny2/f19c/LMEVI5SRuIWZI5YZw7Z8ureO5mda6MDXQeDAZNXptOp9XpdJTJZHRwcGBZbTweV6fT0WAwsCyW9SOrJ7vYZq98IftyuTTnxYYA8rO5cMauTCYcDhvh7WqGJ5OJVQoR2jM5XhwOfAuqgvV6bYeFsUovCocoHXBOvA+fyUW8/O51KbVrbuHOvRPVLdAg9eLvIGY2O5VgNo+b2rpR2osDZj1AIQQyt/UUDeVicdl51uv1Nn6PoMGa8J6ubOpXyQjQR9LxiBOhwu7KrahGk55TvMXpomd2USc1AgqIXmPhcKHbhPenlRSk5HagQVWw/u7rQSsRuPlZLwfM+nMOXJUMe4/XRzPMPLh3Xrjjczv6cNpe+yMQCBjdlM/nN4ISgZu9I72QyzFX9Xpd77zzju7fv6/JZKJms2nv3el0Nho6nj9/vlWxMxwOdXFxYfUeuO5AILAh4cR/AGjQx2ezWUOckixTph+BC+FxzC/L1ph/zjmFasBfMBg0WZp7lzS2WFw2DMGH87rQKq1WS91u13Mcr9yIQarkRmV3s1MhZvGkF4/nRuPLz8IpM4lU5l1N5nVG5F2v13bbF0iAtAhaAGR5FTW5KT6v6fKvLu+3bQIXi8ur6bhS0kUFgUBA7XZbn376qZ4+fSpJdiHOYnHZ4nn//n0dHh5aWuc6YjdNvIoArxpRH/QYCoU2GgW45Y1A4EqQWFPSXvjqq/PP/HnNRzAY1NHRkXZ3d01Iz+uTvvEayKwajYZRDqwnFy0RPMgwCLjuJd1e5t7wRobSbretSy4YDKpQKGhnZ8ekiS7vzGfC+bp7g3V5mWImHo9b99RVpHW1cMV5AOnRyo3SYbVaWVcd7331SRLXWTgc1u3bt62mIb2Qo/F7V6kw6cUVok+fPrV5QgXF+WIs1B7+8i//cuucBIOXz3uEUnB7ApDZ9Xo9K/JBTzA3XFfrFugppO3t7W103HpdI8A8uff4wnmj60ceS6/C3t6eARPAp1sQJsPjs0PluBLVa9dm6/9cY6gPlsulVUzhgIikIFGQFPrAxeLyLlEaLCKRiGlvQTo47escwNUJ5BBzpR06T4h8KAqiFhsVjpEnp7q93C4aJtKiWthmIGAX2YHY3Eo+1xFKlxu72+3qwYMHlinAg7vE/dXUzqsYiLoDdBMKhezRKjhm5EQoNCaTiXq93oaUDo7f1cHyf/Co2zi+cDhsbZlUzt17MobDoc7Pz+3pEDhFpHJuSpvP5604RTDiLlvm9WUUBGktXHcmk7FbuLjOsNls2p3WVzlHirQuWnL3CBmP10HnNju36OMqIZhfV1WBHhbFyGg0UrvdNnRMW7KrUvHKCGKxmA4PDzUYDHR2dqb9/X3bi8vl0q5nxelQCGe9z8/P9fz5c5VKJT1+/Fj1el2pVEqHh4e6c+eOQqHLO50//fRTffLJJ1v3B2ePQO82pkANgUQHg4GePn2qaDRq93m4bcBQfDhmeHDmz0uWR/AbjUbq9XpWOwkEAjo7OzOteK/X0/Pnz/XRRx9ZYw/3mrtiBK4MpX6yWq0sU3iZvXIRzr0ABAfsRgM4L5eg59b6q1pK5FCZTMa6XUCIXhVM6QXfiBNB05tMJvXaa68ZmiKiEhTcdmlSZrpscP68LuP1MgqPRF9aRkn1KW7gJN2nHnCx9NnZmaUtOCEQDwvqhfgowDUaDSvccE/p6empTk5O7MIVHDltpTRXSC9ST55wgBOgoYRMZVuKSWaEUyUjcXlV0l04Z1fKBe86GAzUaDRsTuFieYIKl497OWBkQtPp1GSNPBkEuRu3paXTaTv87XbbmlbQZl9dE9bFpSuus+Xy8k4K9NkUIckeI5GIdQIGAgG73N190OR4PNazZ880n8/19ttvq1QqWfoPqOCcbZuPxWKhZ8+eab1eq16vW+GVwDKZTL7wsE3A1mw2M80tGmRuzyPA0Ojzp3/6p9bUs21/3LlzxygtgIrb7EFXa7FY1BtvvGEpvEvHcU8Ev0fGSxCKx+OejUvT6VQ//vGP7QJ15Ko8x5JC3MHBgSqVioG64XCoZrOpR48e2WvFYjG7aJ/gDNhAE/ylUhAgITYiF4igOw2FQvaUBaq67l28OIbBYGCXSyMpIzXmariXcThs5PPzc7tSkHQGJMp1ee5FLAQM7uh1qRM+A2MCZWwbAwJs6BW32AIiXywWhqjoZiJykjXQKcgcgzQZF1z3dRYKhXT37l3TKJKiU+S6f/++cVcELu5/YMzMt3vxDJVpZIFuyrttPtxCI4EDuocmHe7epR3dvQcBZFMul03lgl621WrZM7heJgGjmNLpdIwDJTCA8kHeXH2ZTqdVLBYNALh1AVeGxprARW/LkBaLhd15TBCWZDeSQR3xtON4PG4Oijsiut2uRqORdVuxt1BJ4Hi8Ul20rXDYDx8+3HjeIB2HVPLpouT/QajuBfTMaygU0unpqT766CP94he/2OiGvW5NOCf9ft94bxfJMz+k9tSOKOaSrfb7fXW7XbtNDSBGk8i2y9glGVrnWXvpdFrD4dAQOnUGHjRMazGZLEGT50vy/MlWq2WZt9ti/6VSECBbUCyRm1QcGE5U4AOhPXX1n4FAwOQt6XTa7kr4/PPP7drE68z9QOFw2J7+wOJKL+gEDgsTAWLheVvwNzhb9/EkLme6bRyBwOUNSTQ5UARAIhONRnVycqKTkxNJsvsa+Gw8LZhD4h4u6UWDh1dnYDAY1DvvvKPPP/9cJycnJldKpVJ6/fXXbU1IySkyuIU/6RKRcT0mGuJ2u21zNp/P9eabb+pP/uRPtu4Rt4ACcuT1g8GgIU1SNBA2PD1a8kQiYU0QdBSBfL1E9hjvTWGFAMfvwemC0tlLPOGEcUJDwfG5WRfZ4LaxwCWShUmyVBmul8IRFAjdiAQLUCkX+7ucOhkd68p8XWdwtnCr7733njkcFEIEUFpqXZkcBTyKrKlUSrdu3dJ0OtVPf/pT/fCHP9RoNPIcw3K5tCsoCeq8NzRmKBSyi4X43pMnT3R8fGx7isLf7u6uQqEXj0Ny1Qte45BkzRPNZlP5fF71et2cPnrrWq2mWq1mNCrZK9LabDZrDwBdLBb2uKvpdGrUFntgm70yBYETAJERxYnaSDDY7EidstnsRjEGZ4gzCIfD6na7evTokT2ufFsa4crEQNnHx8d2kYurfHCRNKgJ1OmmltyeBmeHA6xUKjo9Pb12HHw+WqtZIPdqyng8rv39fauIgpqy2ayq1apSqZShMhAml3qQtrbbbZPrbRtHqVTSe++9Z48XajQaVljiMMNN4eBpTGD+6SICAdTrdbu2EefDM92uMxyaqwpxi5xwsfBok8lE5+fnJjWSXlxyT2DAKdO6fe/ePXW7XfX7fT148MBzv7qUCXvOveTcVVjA9boOmqAFh84Y4Uwl2eX2XvsjFoup0WjY3pNkdQuu+8SZQkVRGCLLJEsgOHKXB23i8JLbxsE54bFUd+/e1WAwsHV1FR5kQvF4fIPTpHtsb29Ph4eHCofD+tGPfqT//t//u+r1up3xbUABZw7VCMjhkUTSZYACwa5Wl3c+tNttHR8fb0hbefoyqgMK/dRcXLXCdcZctlot7e3t6fT0VMFgUHt7e0bPRCIRo6MAjDxxnXoBV5tS3+D2NtAw3Xlbx+E5ymtsuVxu6PB4RAgthXT9uGkFjnI6ndqGgdODH1utLp8M8NlnnxnS2YaAcZ4g3FAopPPzc5XLZTu8bmOEWzjhsLivDfJAJ0tBKBaL6Y033tBnn3127TjQMHLAj46ObNKJmmhxUUC4OklXEkehktfjngAemEk0vc6Ism+99ZY++eQTa7Qg3Xc1yq6jIVDxGm6Gw9OVmW+CBK2Z2+YDrtWVMrnVYhwhr0NRDDket9SxbwgmDx8+1Pn5uW7fvq1qtar9/X1PJM64+TxuwCkUChvOhVTXvWvCLcTCTdLmTqZHuuv1/oHA5TPu+v2+XRJTLBaN/sLh0nLttnHjBN1GH1AhGSgXUv2Vv/JX9IMf/GDrWGazmVqtliTpjTfe0Pvvv6+HDx/q2bNnG0oPitZQUOxV7vK4d++e3nnnHYVCIf3n//yf9Ud/9EdGJ7gXlm/bp6vVyu5gePz4sSFF6hgEAOYFKRhFZhBypVIxYIc/Yqw81NarRkBwI/g3Gg0lEgkdHBzY7W+Hh4cGRsg44MpR8NDGPZ1O1W637W4Pakjf+c539Md//Mdbx/HKl/EwcNJyVAIUz4hErtcnSnH4+JMNvFxetht+/vnntkleZhxsFm80Gumjjz5SNBrVvXv3rOhEZHc7Y0BWLtoDqVDkGY1G+vrXv66//tf/+taNPZ/PVavVFAqFdHFxIUl67bXXNJ/PjVPjiQ4ur8X7Q+Ww8bgCk03Y6XRUq9XsYhnQ2raxHB8f66c//akJ1yl+Ehw5yMw5QdLVZELHwBlyEFerlT3JYFtXHkoF9y4DPj9/ly7RRzqdVrlctm44KCrmhX762Wyms7Mz1et19Xo9e/5YpVLxLLS4Mi86uLhUheAKymJMrAtzw/ygmuH7qBFwyl4IGOprd3dXtVpNJycnWi6Xhmj5OW7zo7jNmK7edyvJDjfo+N1339Ubb7zh2flFQeidd97Rd7/7XeV/+Xglsgi3hiPJwAu8bzqd1ltvvaV79+5psVjo3//7f68f/OAHBmTwAV4IGP741q1bhmwBHXQLBgIBu3OXAheIFyqR2gFSR/bdYDDQ/fv3dXR0tLHftu0P6cWDW6kHnJ+f6+DgwIIu2RI+C3DB3qBz120gg4YslUr66le/unUM0is6YK6eg2u5yiMymfwclACblMNImyGdMfV6Xc+ePdPp6akddi+OD+kJzoHxnJ2d6e7du+ZcWUQ3xQJxTiYTq45zFSDc3mQy0fvvv6+/+3f/rt59911PGRqfbbVa6dmzZ7ZoyIUIFO5BBYGSBsH/gmqkS4qnVqtpMBjYJtmGthaLhf7Lf/kv+nf/7t/p2bNn+v3f/30tl0t9+umn9hBUbpuDHnEzE9Jf0kwkSCAtnOlbb72lw8PDrfOBSob54BAQkHhsEvOGA+IWNII7a9Dv9+0hr9JlkGm32xqNRvbg123m6rrn88sbxXjqBPuWOx9cThkgwVxAI8H9SvpCo4RX6k8w4lmI7XZbp6enRmEQ+N3ahXtJP/uV4I2j4HKco6Mj/eZv/qZqtdpW5AmVsru7q+9///v65je/qWazqZ/85Cd68uSJcrmcPvjgAzWbTV1cXNiZwCEzP51OR48ePdL/+B//Q//1v/5XU2q4ygnQ6zabz+e6ffu2IUnUSqhsXDkZTRDQQPQgkA246qdWq6XFYqF3333Xzp37pOar68Ie4OEMdEmenJzYUzh4ug8BNxAIGCWHnhygQLCEygwGg/rN3/xNz4cLS6/ogIlErVbLNHhuii/JDg7tjQzMlTWx+WiLbbVaOj4+VrfbtUX0UkCwyCwa6Xo8HtcHH3ygdDptHAyqCPcybugPHijK7zYaDfX7ff2Nv/E39Lu/+7v22G0v/S1FEg4HxQKkYC56YfO4jo0DTx88jpiiUzab1dHR0UYx66rVajX9i3/xL1Sv13X79m198MEHdnm2W+Ckx13aRGcUmXBs8Fiu0mR/f1+//du/bQ8m3GZkFFAW8KU0FUgv7pVw7xEgXQc9EJifP3+u1Wpl0j0QhteF/ZhLr1DI4m5qHDRrglOVZHpjV6XCGiMxZN/zvLJtRkZIpkYBC2cHinazCsYFT40iBsXNbDZTtVpVPp/XN7/5Te3t7elP//RPt+4PFEFvv/223nvvPQUCAf3whz/UX/7lX5rjymazKpVKpkIClVKbeP78uX72s5+p3W6rVqsZFUkAB0zcvXt3KzfPWt++fduKo8hB0Wuj0XYL5q1WyzTArlYeB7laXTaHfOUrX9G9e/csg/DiXt25uXPnjn7+859b4H3w4IGKxaLdDAiV51I1vV7P+g24bgFJ6nQ61eHhob7zne8YlbTNXhkBf/DBB/rxj3+sYDC4cT8nHA6FD55E4Hb4gLSA7dwk73YguQ5im+OjywSUK106/lu3bumDDz5QKBTS//pf/0vn5+cbhTnQCEEAJBEOh+1R7n/zb/5N/e7v/q729vY2ZFXXGU6M1HUwGOjDDz9Ur9fTo0ePTGOIMyadxPEFAgG7KvDJkycbj2eaz19cZsNl5dsoiHa7bXfKglju3bunv/pX/6r+8A//0C5iQfxOUHTbUdE4NptNQ36gm1KppO9///t64403PHm1qwgbBMrhwonR8cQcMgYczXQ61fPnz3V+fr7xZBMXqbpdjdvWRnrhhFOplHZ3d/XTn/5Uz58/t2yHMYNw1usXt4yRPbG/eV8yBw7Zv/k3/2brOBg744nH46YPf/bsmU5OTiwwulJJl+6bz+eWLc7nc1WrVeVyOb333nv68MMP9cknn7xUr16tVvX1r39d+XxeT5480c9//nPV63VD9e12W1/5yleUzWZ169YtffbZZ/qjP/ojffbZZxsZAVIyslmQ+Xg81t7enj2q/jpDHXV4eCjpxcVG7tqCdi8uLowGc/lV1gi5K23R+/v7+u53v6tqtbqRaV5nADwCfi6X07e+9S396Ec/0oMHD2xvsCaoIqCKyKYBEARkfFokEtH3v/99lUqljetDr7NXcsCz2Uzf+9731Ov19POf/1yS7LDyJck6Yy4uLr7QQMCGAuGEQiF95zvfUafTsevmvNAvE0jDAxFakt59913t7e2pXC5rsVjoP/2n/6RarfaF1J3iCotNmv73/t7f0+/8zu/Ygxzh/15W/HKlY1/72tf04MEDffLJJ/r888+1s7NjCB1pE4oDuoyOj49Vr9c3+vx5PlYul9NsNtP+/v5WTgskTZGIRf/2t7+t09NT/cVf/IXOz89t05EVQBshoUHDKGnjovTvfOc7+o3f+A07JNvWp1qt6qtf/ao+/vjjjTUHxXEw4G4poLprAgI+Ozsz6sGluryc7nXrgyExi0QiqtVqajabOj4+tieE8BwwnAtjpeGBwBYMBpVOp1UoFPThhx/q6Ojope/PmgeDQQtQ4XBYBwcHdq/1cDi0i4ngQJFncV6CwcvWaR4L/93vflexWExPnz59qSzv/fff1wcffKBIJKLPPvtMtVrN9uxsNlOtVtO7776rWCymQqGgbrerhw8fql6vb9ALBHGyCvaPq3Talpms12u9/vrrymazeu2111Qul02tw//zebnc3FXDsPZkk5w7srM33njDApfk3ajDZ0LhUigU9I1vfMOuvkQFRU0GcEBdic/u6tfb7baGw6G+973v6Td+4zesIL9NxipJgZc5u40fDgTqkp7+yr/wf26vrdfrij8Ofxz+OPxx/H9tHNIrOmDffPPNN9++PNte3vfNN9988+3/qvkO2DfffPPthsx3wL755ptvN2S+A/bNN998uyHzHbBvvvnm2w2Z74B98803327IfAfsm2+++XZD5jtg33zzzbcbMt8B++abb77dkPkO2DfffPPthsx3wL755ptvN2S+A/bNN998uyHzHbBvvvnm2w2Z74B98803327IfAfsm2+++XZD5jtg33zzzbcbMt8B++abb77dkPkO2DfffPPthsx3wL755ptvN2S+A/bNN998uyHzHbBvvvnm2w2Z74B98803327IfAfsm2+++XZD5jtg33zzzbcbMt8B++abb77dkPkO2DfffPPthsx3wL755ptvN2S+A/bNN998uyHzHbBvvvnm2w2Z74B98803327IfAfsm2+++XZD5jtg33zzzbcbMt8B++abb77dkPkO2DfffPPthsx3wL755ptvN2S+A/bNN998uyHzHbBvvvnm2w2Z74B98803327IfAfsm2+++XZD5jtg33zzzbcbMt8B++abb77dkPkO2DfffPPthsx3wL755ptvN2S+A/bNN998uyHzHbBvvvnm2w2Z74B98803327IfAfsm2+++XZD5jtg33zzzbcbMt8B++abb77dkPkO2DfffPPthsx3wL755ptvN2S+A/bNN998uyHzHbBvvvnm2w2Z74B98803327IfAfsm2+++XZD5jtg33zzzbcbMt8B++abb77dkPkO2DfffPPthsx3wL755ptvN2S+A/bNN998uyHzHbBvvvnm2w2Z74B98803327IfAfsm2+++XZD5jtg33zzzbcbMt8B++abb77dkPkO2DfffPPthsx3wL755ptvN2S+A/bNN998uyHzHbBvvvnm2w2Z74B98803327IfAfsm2+++XZD5jtg33zzzbcbMt8B++abb77dkPkO2DfffPPthsx3wL755ptvN2S+A/bNN998uyHzHbBvvvnm2w2Z74B98803327IfAfsm2+++XZDFn6VH06n0+tKpaJwOKxgMKhgMKj1em1/DwQC9qck+3O9Xm/8fbVa2Z+r1UqLxcK+J0mz2Uyz2UzdblfT6TRwdRzRaHSdy+UUCoUUCAQUDocVCoUUCoU2xuK+pzsOvtxxSbIxLJdLLRYLzWYzzedz9Xq9a8eRSCTWmUxGwWBQ8XjcxnF1DO4XdnV8141ltVppuVxqPp9ruVzq4uJCg8Hg2vlIp9MKBoOKRCIKh8P2+teNJRgMbozh6tjcdWJ9WJPVaqXhcKjRaHTtfBQKBXtP3icYDNqeufqe7tq4c8HXcrm0r8ViYXtluVxqOBxqPp9/YRzxeHydy+XsvYPBoEKhkCKRiP396p51x3t1DtxxrFYr+z/G1Gg0NBwOr12XVCqlcDhs68KedcdwdV7c9786L6wJe2I2m2k6nWo8HrM+XxhHLBZbZ7NZJZNJO7PMjXtmr/u7Oy/XjU+SjWMymSgYDKper6vX631hHOFweJ3P55VIJBSJRGw9eO1tf3e/d/XMYIxhPB5rPB5rPp9rNBppMpl8YRyBQGAdj8dVKpWUSCRsXsPh8BfOjjtPV88s+5A1uW7frtdrtVot9fv9L4xDekUHXKlU9K//9b9WIpFQPB43p5FMJhWNRhWPx5VMJhWJRBQKhRQOh23yGNR0OtV0OrXJGgwG6na7Gg6Hmkwmms/n6nQ6evbsmf7tv/23144jnU7r937v9xSJRJTJZLSzs6N4PK5MJqN0Oq1UKqV4PK5AIKBIJCLp0qG5m891cDgWJnM8Huvi4kLPnz9Xo9HYOo5sNqu//bf/tnZ2dnR0dKRYLKZ0Oq10Oq1IJKJEIqFoNKpIJKJoNPqFA8c8MR7MHddwONT5+bkuLi70j//xP752HKlUSt///veVzWZ1eHioVCqlVCqlSCSiVCqlWCxmDoivQCCgWCxm64ZjcB3eaDTSdDrVYDDQycmJHj9+rH6/r//wH/7DtePI5XL6B//gHygcDiufzyuTySgajapUKimZTCoejysejysajZozcgPwfD43JzufzzWZTNTpdNTtdi0gn56eqlaraTwe67/9t/927TgymYx+7/d+T5IUj8eVzWZVKBSEE0qlUrZOOINQKKREImGBPBwOa7FYaDQa2VgGg4E6nY7tk8FgoFqtpn/5L//lteNIJBL6a3/tr2lnZ0cHBweqVCpKJBJKpVLKZDLKZDI2nlgsJkkbTno6ndqczOdzAp/m87lqtZp6vZ6azaYePnyon/zkJ/rFL36xdT7+4T/8h7p//75Wq5Wm06mi0ahCoZCi0aid50gkolgspng8rlgspkgkYn+XZHsIR8Tazedz1et1PXr0SKPRSP/0n/7Trfv07//9v6/d3V3duXNHuVxOi8VCiUTCgkMsFrP3dueCIAbIWK/XGo1Gms1mNpaLiws9ePBAP/nJT3RycqI/+IM/uHYckUhEv/Vbv6W/9bf+lgqFgkajkUKhkCqVilKplJ0JxpFIJBQOhw1shsNhm0fWpNPpaD6faz6fazabqdfrqd/vazKZ6F/9q3917TikV3TARG4Oznq9tgWRLiMFiyJ9Edm5aM6N6EQbFhMH5Tol10AxkhSNRjf+z3WsTJIb6XlvNyhcHRfRkMN7FR26FovFlEqlNJ/PJV0e+Ol0ap+L9wIBMj7GvVwutyIfNmQikVAsFts6Dpw6m5S5cf/uZizr9doivSTN5/Ot6zSfzxUOh5VIJJTJZOz1ttlsNrPxhkIh5XI5JZNJQxdsaow5Yq1ZK9bG3SccQMbuIqCrNplM7NBIMhTPOBKJhM01+3qxWNjP44RjsZjN22QyUTwe12QyMWdEoN9m/Ew0Gt14LxwJDobvA2xWq5VCoZAmk4kmk8kXEJ8bRIvFonK53BcQPBYKhZROp+08sAc5w272OJvNJF2eIzLA+Xy+kUEwb3zx/6lUSqPRaOu5ZT34/8lkIkmGVnF8nP3lcmnvh18JBAK2Tvw/fw+Hw0qlUkomkzZn11kwGFS5XFY0GtVisbBAxDxEo1H7Yr+7n3c6nWqxWNjaAO7YuzhozpDX/nglByzJ0i53UdyDy6FhQq6mWK7zdheTAzWbzbRYLLZuJmyxWNghvy4i8/vL5dLG6QYH9/OAMthw0+nU/t/ddFctEAgokUgoGAxqPB5/YQ4IFNPp1Jye68BcZ+KmMC46ZgH5nNvGAcp255zNyWHjZ13nNp/PN9LNcDhsn4ENKUn5fF6z2UydTmfrONgb8XjcUHgqldrY2O5nZTzsAcZJWj2fzy2Quc6R8W0zDglOezqdKhaLfeH3+OwELjfguIebfRCPxzcO/8uCEXsAZC1pY07ZAziBUCj0BcrBPRez2czGD5JeLpfKZDIqFotbHU4gEFA0GjWnQKbjOnrQ71WKQpLNI2uHs+b3+TmClldg5KwNBgMDIsvl0l7fBW+sg3t+2d98Ljdjk2SIHie4zQhY4/HYzg+gi33q0k6cFdaFjJb3CYfD5oyZn6trep29kgNmEEyMixBcdOnaVa716mHHaRDNx+OxURRe4xiPx/bhieJsENISKBCi6bbPw5fL94FQ4LWuMz4TiCgWi2mxWNjvuzwn0RskhLlRnsUiADA/bqDZZiw6n2EymdhcJ5NJcwLMFfTDVT4cJMjmdZ0nc7ltPticLqJyswmC2VWe9yrfCErlKx6PW2oHQnID+FUj0BLAQMOkusz7YrEwx8v68Dn40+UCQUUgm1AopNls9lLHx9q5QSYQCGg+n2s8HhsP6QY+nCXvhWNijxP8SeGz2awnaGHe+TxuoHfTfZev5ly6TlGS/b/rjNhLLk973Xzw2cbjsTlWN3NznTvOFGeGM7x6FuCf8UnpdFrZbNZzXVKplAWBbDZrNIxbL+Czs5egPljLq4CAs4cPADx5BYJXRsDuG7okNYuAU+Sw83eXgwS+u8ahicfjxhVvm0CcFOkaG4fFY+GYMEkbDtr9YuJw0Dhu/u2FtKQXaRTjdh0Xc0OQwomwgGw+fp7fdzc9gcDNNK6bD+aYxcd5g2xcB3w1IHIwOHRumgpylC65xF6v91IkzlzgVHDo/OnSTuwj9/usFc746ly69Mm2+RgMBhqPx/b6BDE3mLnBTdIGyl6v1xt0CY6Qf0+nU6t/bLNAIGBzAXAh0LOuUDsuJcXPQB3EYjFNJhMrtrE/CIzUPbzMzch4bxf5SS+K0FcDofQiA4AmgSMn28xkMoZSvYz9Bg89nU6N/3VrSG6gwJFxtpknMiW+cNo4cy/gBH2An3DpF/aCW9Dmtebz+QYYoRg8HA7t3Ligzs1arrNfCwEzQW4BCWfLJnY5z6tO6Gr6tlgsbHPhHNw09bpxjMdjJZNJe18OhHQZEVk8l0+OxWJKJpPm4CkysdndCjeTNxwOt07gcrk06oGDjCPj/d3DhHN0kTPIEETh8uySLIUl5dlmLnJYLpcbRVIO1FUn7r4HaI4KMpvRLZa5qHabuRvaXS/Xybt8HsiJYMn3XfTIfmEt4eC8nDBFxEgkYkVR9oZbN7iKeskYABPMxWg00mg02lDsTKdTQ2jbbDKZGLXl8oyxWEyZTEalUmmjyBUMBi3r4qvX6xlF5gIKXiebzdp6X2cu1eTysG4wwZlyPqEsCNoAJ+aGwMa+DIVCKhaLajQaW8cB8iV7ZcwEFTd1d3l+Un+Konx+9sJyufwCwPBK+9frtbrdrgaDga3xdDo1CoGifDKZtLnl/SjGEgAJQNQUXMpwsVio2+1+eQ7YrVS7h4yDy6ISgXAuRCYmsN/vGzphAbrdrlqtlprNphXOtk0iKMFNQ3u9nh1UnBBjcheG3/+lRMVeC+rD5aEJCld5Y2yxWKjf75tjo5ggaSOlY6OCiJgTFh6HA2pNp9MbPDjBwyulcoMIY4DuwKm6KSYOjnVwiy44GAqMsVjMqv6DwcBzc+MY+GxwsFSV2dDMOe+9WCzs87M+3W5XJycn6nQ6tjYoO7rdricSz2Qytj9Ace122w4Xa+IiYpdfHI1GGo/HGo1GtkfcAMe+96IgVquV+v2+SqWSJBm15jo7aBWKrAQZ3nM4HG4ceNAiARVVhIvkr5qb8fAZUBu4aHAwGFjAoqDlZgvhcNj2COuQTCYVCAQ0m82M8982H4vFQq1Wy+YfCSfBv16vKxqNKp/PG6Xi0oqsHZkDGQBrglMnY9h2bgGI/X7fAk273VapVLJ9A7DK5/NCOscZoKZQLBaVzWaVzWY1mUw0HA7trLG3+/3+l0tBuOkfzsPlRYhIOFf4qeFwaJGn2Wyq2WzapmajgZ5d1HaduUgbxNDv9w2lIO9xnSCOCVTr6klxnG6xQZKlyF4IeLFYGLLhdZl0DrhLAUhyNZsbm8SVacHxuY77VzFSVQ7uxcWFotGo0KPCdblSKjd4gsYICrlcTpVKxZDvtk3N3shms7Y3pBfoy01/yYjcDAGbTqfq9Xqq1+s6OTnR+fn5RkE3Go2qUqloOBxuHQc/hxMhCAwGA52fn+v4+FiVSkUHBwfa2dlRuVw2bpk9wj6Ox+PK5XJKp9OWOa1WK3Na3W536wGDGnJlkdIlWJjNZur3+2o0Gsrn83b4pReZVaPR0Hg83iioMgb4y8VioeFwaOt1ncF5st6gVwIe6JI16/V6kmTID4XPfD5XJpPR3t6eyuWystnsBl+MY95mi8VCzWZTi8VCqVRKk8nE0DABZLVaqdPpfGF9QZTsYWgH9sxwODSOf2dnR8lkcuu6uFRGIBBQq9Wyv/d6PaNCQqGQBoOB5vO50S5kNFdrPS44dcECqHqbvZIDdqt+0+lU4XBY7XbbCi1MMpGeg0MRKBwOm+73l80NdjDdCj5coBfnCUobDofq9/saDoeazWbmRLLZrEWuUCik8Xiser2uwWCwoXaAL4Z7ctEqY/MyaA13I3c6HeOGQRTFYlH5fN4CBg4f5+RWdklpdnZ2lMvlzCm+zHAKoDZQMU4ExOI6YLgr+E2KUmQN7XZbwWBQ+Xze5nbburgBhpQuFotpNBqp1+up3W6r2WyqUChYEZBMhvGfn5+r2+1aWloqldTr9TQcDu3zwJtuG4fL5y2XS3W7XaXTaUuX+/2+Ob+9vT1VKhVVKhXF43F1u111Oh31+30LKIVCQTSYEHShI7wsGAyqUqlob2/POFSq7wR/HBDnZ7lcWgC6uLjY4Gk59KS2ODyCwjbAAr86nU7VarVo6LEAxdlkDXEkiUTCwBGZTTab1WAw0NnZmSKRiJLJpAqFgiqVimW6284MmU0ul9N4PFatVlOn0zHVDE1eOFSUMJFIRPl83hzZcrnccNKApkKhoKOjI1WrVd27d89zPqBZIpGIBcPBYKBUKqVSqWQZLYqN+Xyuo6MjZbNZnZ6eqtfrmS/jzKbTae3t7SmVSlnxDl+1zV4ZAUciERsYkBsHMhgM1O/3Lb3i53HAbkGDKE40xMnA7XkVWkCEsVjMaAKcMKljMplUuVzW7u6uIpGIer2eOp2ORWDQAylEJpOxVJvXxnltW8hwOGyODSdCAHI3B5uaQhOcGwjEFW7HYjHt7OzYWNxiw8t4rdlsZmkqTgzU0+v1FIvFVCgUVK1WzfmRLiEkDwaDxp0Wi0Utl0u1Wi0lEglTqngVNyhgsg6xWMw2NMEaBIkR9BaLhZ4+farBYKByuaxMJqN+v29Khna7bSlqKpXyzJD6/b6ltp1OR+Px2LIIMrV2u61nz56pXC7r9ddfV6VS0Xw+V6vVUr1eV6fTsXS3UChob2/PMhQoIi8OmDSbA47aIZ1OG7dNNoQzj0QiajQaevTokdrt9gZlxWHP5/PmkAlIAJht4yDL63Q65oBdJQR8MoBluVwaYIBmCQQCllVJlw1RBBg+q5exfyjschbZC6wpzViDwUCBQEDValXvvPOOFouFTk9Pjaqcz+fK5/M6ODhQqVTakEHeu3fPeNnr5gP6AP/R6/UM6X722WfG4wKqer2evvGNb+iNN95Qu93W559/rlqtptVqpUwmY8GKvT4cDtVoNDZorevs19IBgyApmrGBQLYMmsmQXvCY8Fv1el31et0iN51sqCW8jIjIYaBDqdlsqtFomKi72+0qHo9b9MT5cQhms5mazaaeP3+uZDKpYrGoZDKpdDqtarW6IYHZZkT8+Xxun58Ii/zJTYklWVqCs5pOp6rVamq328pms5aSufI8LyIfRwC3B7cILTObzZTJZExuA3/oCugJGBRhGDPBgOKVF9dIUMtkMhb92egEaLh+5qZUKikcDhuiqNfrxrvn83lzni5lwbi9ik6sO9lPrVYzuSDdZ4lEwt6XfQll1Wq19OzZM9uXIM5yuWwOi85Nr8A4HA4ti4CWg0vHkaVSKe3t7Wl3d1fFYlGdTsfG1Wq1zAmORiNDiaTJOBnGtW1/4BSgK/L5vHq9ntF3OEHWy6WiADc4OBfJ7u3taTqdGu3nhfYANHQgks4DFPjcnU7H/r6zs6NisWhz+fTpU9XrdcvyhsOhZZ/lclmpVMpQtVdAouNPulT3tNttrddr6y6kaOpmg26gBIFXKhU7H2TjzJNbXN1mr0xB4JCIlqRs7v/jEIjOoCZIaVJeOBUO52QyET380ADXDvqXqSF8UKFQML4SQhwnDbJ1u5eIqqBQJiydTiuTyahQKGxUzrctpKv5Y6IzmYz929UVg3QINiCP5XJpygycQjAYVLPZVDwet6BwVbZ31dxCzsXFhcmShsOhstmsKpWKksmkXn/9dR0dHVnwLJfL2tnZ0Xw+18XFhdEn8HuI/FlL9MXb5sOV9BFQ4ZmfPHliKD0SiahSqWh3d9fWp91uGxUC50dwC4fD2tvbU7/f95wHLJVK2cHtdDoqFApWdHQLP66UKplMmrLGLU7Bj0OtERwlWaZ3nRHooFtqtZrOz881n891fHxsFMjBwYEymYwGg4EkWcCUpG63a7w3+wfHw9mCf/U66PDRBCUaalw0D+cbi8VUrVZ1+/ZtzedznZ6e2v50G1t2dnbs9dx52maRSMTOKg623+8baAO05HI5hcNhy2Tv3Lmj1157zQp9T548Ub1eV7/fVyqV0p07d5RMJi0IePUQYNBk0EsnJyeW5d25c0f5fN4cMIDz4OBA2WxWo9FIqVRK9Xpd5+fnSqVSunXrlhaLhS4uLrS3t6dsNqt0Om2+cZv9WkU4HCqODmkLdANpPJGUSiqIFEeBJpYFcWVt8MPXmSsVAoGyIfb29oxfTafTRshT0Yc7RP7z2muvWcoFbxyPx00u47WpeF+CDmhuNpsZ18z/pVKpDU4aB7Ber83pT6dTcxogyVwuZ9HXy+CYV6uVbYBAIKBarWYc92w2s/S9XC6rVCopn8/r7t27WiwWev78uSE6goJ0ia6I8l4HHdTMvFChJwju7OxYoYsgDcLn72x6NJrcn0AR15UneaV2jDUej+v27dtKp9MaDAZqt9uSXmhBR6ORVbrz+bwKhYI5w1gspouLCwWDQWWzWQMF1AsAANvGEYlEVCqVFI/HN/hr0NedO3dULpctOFCDIJAzL5VKRYeHh1aBJyhFIhHlcjlDkl4OOJFIKJfLbWRS7MFSqaRCoaBSqWQBNJvNWvAnTafewZru7+/b3oDearfbnvJAV81TKpWUSqWMJqRdOhaLaTAYaH9/X9ls1jID3rdcLqvb7RooIaNxgZPbzXrdPoUuKxaLhsjdxjC3GIjc8N69e0b/LJdLvfnmm3aPRLFYVL1et33ZbreVz+c9KTvp13DAtEACy9m06AxxjK6Wl3TbFX8Hg0FDYaFQSLu7uxv91RzSawf9S+4VJEWagPwIJ5ZMJrW/v28/NxgMlMvlFAgEVC6XVa1WTQUhvUCR8KAsgNfGJq3C6eBA2KhsNgpxpIwURdAwZrNZ01mihoB/pniyzSiSHR0d2UbKZrNaLpe6deuWxuOxXXbkSoaYw9FoZOtE4KRyz3y7An2v1F960TFG4GJecrmcyf+Yj2q1akWLnZ0dK4DB3XIgi8WiIVDSaa8aAehzd3dXqVTKOGACHcXSfD6v/f19lUolVatVlctlSzNzuZwpW7g8hwN6VZt8nZGFQTtUKhXt7+8rkUhoMBhoNBqZKoV7EAA4BAi6usjmKE5SuItEIuYkthlnLpVKmTQwn88bT5/L5bSzs6NsNrvRbk4gvnv3rjqdjqXViUTC5sq9ZY2g+7LzgtPNZDKWSSAH6/V6FvyhvzizBJxCoaBarWZUAQXrYrFo+/NlGaMro+Oipna7bfuMgj0qp1KpZBQexbZqtbohIS2VSiZO6Ha75hO+NAoCjs8tPqTTaRUKBdu0HD6iJhNM5GajgQ6vivCRh3jdB+E2erAhQF84Lg4hEyvJkDAi63K5bKmuK6VjUeGNvTg+SVZNpsqO/E56wZmzeKSLklQoFGwj4BjhcXHEHES3gWObwV/yvm6TCrpGN1DQwjkajazYQxGU1JwCAzpM5n/bukwmE1UqFRWLRZO+EYi63a7xYigCyuWyBQy3+QIZn6uMIbhTlNzGN7KerDfqDrhpPjNSv8PDQytkgU7v3r2rZDJpKJ6gj0abugNywussGLy89GW9XpvygzSedWdNCHp01qF9nUwmJiPE2XJm3M+CSmSbkQ1wp8dyuVQ6nbZ6CPwpFA9nG3RI2zO00FU6Mp1OS5In4iMTzGQy2t3dValUMhTObXeAMwp88XhcOzs7SqfTGg6HNqZcLqdGo2FqDfeiKHyRlzwQWnA6nSqbzVoxHVDIfPMaXF2ZTCYtO0bri0IGXTM0SiKR0PPnz7euifRrOGAEx65gmw+O44lEItZcgVOAy3L5Y6qq0otLb652umybQPS+bGQQF2gCjTIHBMdEhKbFcz6fm1wKPgwHCVXg5XAoIjAXIBiCynA43GixdOVqZAxsHg4GjtyVwbzsTgrUFzgdHD88t9tdRJBADTKbzVQoFKwYRhELLTVpK1mO1/6AY3Vbw5l3ScZtko6jT4VzdouwHHLkem7HltdtV6B1lDo4GSgDUAktvNBRbhbAWOCvqRHgaAgoXi3i0CvsS/Yj+mKoCc4SaFiS7QOAwWKxUC6Xs71Clb3f76vT6ajVank2LvV6PXMqNE+wrgRDnAt7N5fL6eDgQIvFQsVi0bIopKVXL8Py0sxjZIzujWOcYRcc5fN5q9ugkebyoWg0alQRAMntQ3Bbtq+zxWKh8/Nzk6uyJwqFgvL5vJ3/drttyL9QKJhvy2azBmjG47FarZb5IgJUpVKxffuldsIh73H72N201BWcs9BMEqQ6nTvIt5gwmggkbaTvV42UDtTkFr1wuBwaHCjovd/vW8GOQ0w0Y3MvFgvraPEaBxKvdrttnCCFAIIE7wW6A2FLsusROYyufA8ng1jdq9izXq/V6XQ2DjDoMRqNmhICugcFBMg6EomY5Iogkk6nba2I9AQCL3MpHcbmqjkYg1sJdxEUwZLxugeMfdLtdl9ajEMWRFMBRZF4PG4aXgKgJNN6uvUB9hYO9Gowdse2zUinl8ulYrGY8YLss+Vyadpg5E6SNoAKCgjOG5mI+75eNYLV6vKuXFCe20BBwKE2wb4AACCNBEBwfnCevDcInILmdeY6STpI3YyADIcmCBQOZE04QIIw55495WqryVq2zQcccqfTMQDH+zIPSBH5nCB+9ip1Kle3TAEV2SUdutvslTng8XhsSNZN+UE7IFkE1dKL25NANm6njXubP7KY9Xptco7rDKeJUBvNHouwWCysGJDL5TQYDCwVoILLIYaHYkE4ZDjDbrfr2dLopoA4WpCrm9oT3Z8/f26dSW4RyKU6yDSYG6K613xQEUZrK8maDyjSzGYzK8QgheI+DNJaHDc6TJwEY/K6g8FNjUnv3QYC1oYqNygdDhF6wS3eoZ92LwhinraNg0AsyQrF4/HYuvSi0ahJy7rd7sbYf/mUDZN1caBBeSBygrZXKzL7iH1KIQy1C+hxPp9bABgMBtaOTpcd5wdHznu6GlMvLlq63PdovclUASjcyTAYDExuNp1OdXFxYdQNTpyGp1KppIODA7tU3e0q9TKcL2s5m81ULBY3nJwkPXv2TJ1OR2+//bbG47Ha7bal9ZyJVqv1hfrEcDi0z+klQ6Np5OrPMN9nZ2e2d9yfZ/0BCvgdgjXSQbok+/3+l1eEYwMSId0bptwWWi4OoZvIbTRwtZBENzaqC9n5uW1GJCWVZlOC7iiwMMFu1RtNZywW097enn3fvS8BZcTLEJ+L3kHObrNKr9fTaDRSsVi0bjzSWdJ+N2VBW+peDiJ5UzKSLFiwBq5sDI00aBhUw6bt9Xrm7EjZeU2q7ay91xgISBTR4PGpGcznc0MbkqwwxuZlHrvdrs7Pz01BwMF2HbnXWKB+2EdkEjjCXz4yx3h1NMfr9doCd6fTUbFY3ND6AjJcSaHXfCyXS7XbbYVCIauBTCYT9Xq9DaTPE2EowoHSz8/P7eDv7+8bQmN/uRy/VxGOoMW9E6A1ir40n9AiDTVH8w6ghQYVmlgmk4lu375tHOhVZHrduridZTgv1hjuvtPp6MGDBzZvBB3An3vBzfn5uRW+COBue/11RtEMwME+d6lKgtR0OjXuH3DR7XbVaDTU7XZNBTIajdRut23N2G9eai7p13DAbjcbfCoTQ2cJ0Jt+dRAiG41qMuivXC7bh+bLq6BACy2T7KIUSWo0GsYVPX/+XM1m06qaBA8I91qt9gWdLnywJM+N7fKcHAS3VxyHyoGu1WqmqgBhhcNhS9+I7hwYNgUO1WtdoFfQhbLBZrOZPcInm83a++TzeeuWgz+OxWJ28U21WjXUjDNnA3pxjSBIqBO3mEQzR7FYtHHibJrNpqEHnAEdcS7H7equtxkZASksB4w1ubi40NnZmQVsxn16eqp4PK5qtapsNqtms7mh7HAbQFgX9uu2+eh0OkZJMR9kaKBFgjz3EEhSv9832WYwGFS3291Aa2RYHPJ+v781U3MpEP7O+SVboWWb/yM44gTRUJO98lncFm+CnRdwAuUT1FkX9myr1dLjx4/VaDR0cHCgjz76SI8ePbL0nsIuiif0wNxcRnB6GRIHOVPIJGDTyEGwkS4zdTS/vV5PrVbLOgmRm7kNTGSOiAq+NBUEURSPzpu43A4I5pcPojPU4bbmute+0ShAQQL0R9HmOnPF0XC+RBoQH11Os9lMFxcXajQauri4MBSQy+XsQLs95i73yPe8zE0Bie5EWKgYNu56vd7Q+SLoTqfTdmMYnBKODuf+MuRJSsr80Z5NZ08wGNTJyYmy2az29vZsU3DjFwVI9w4ESTbHILGX3f5FcQKHyXuQHbgdgLlcTvP5XOfn5zo/P7cibL1eN+Td7XaNj+R9ccJe4+C+B7TZpIeSbG1oWHnttde0v79v9MdwODRtruskuWuEwMmh81qb0WhkgbrX623QLDgAJG2SVK1W1Ww2rQMQZ0V7OEADANPr9SxYee1VqB63GxNu370PhOBF4EilUnaGXNkX+x0pGhSbV8s8oAKdbqvV2rjHAmngkydPVK1WNRwODbTQZRaPx+35evv7+4Y8ybqQ0nnJJV3lldvxxlmDOmD+eV8oKnjhQqFgGYwLKLhsnr3mZb8WB0zlGoclveg3J+1EtkEqQwUa6Q1OhoPKh0di5HXblbtx+RNku1wu7To7EMhqtTINLhF6Pp/b3QJsaBwdhcNfpdrupsQ4P4pt8EfT6fQL1/QRpV2JEXQOqZzLLXkdLtYB6Zu7NigcgsGgWq2WRqORzs7O1Ol0lE6ndXh4aIibi4lc2sPl1V1nfJ3BwUEJDYdDOwg0IkQiEdXrdVPA8Pk4+BQGmT8OtDsOt7h6naEnxQFzuAkuSMrQCbM3CoWCIXgyKJQB3HEiyeRJOOVtFgwGLRvic7LfXUUHmUooFNLFxYUFAVcuSMbmIjWXXvHap9BvOB6CBk1TqF4oHEuyfzebzY39B6fP/3NREoUrLwoCxBuLxTQcDg0g8brtdlvj8VjFYtHu3XA7WRuNhskceaYbChoCiuuHvKgQwCJFQwqc3BNM0xI0lCsvpV+gVCoZmMTvuc1ZUExfWhGOgaNuYFNBSnM4SFVxLKBN6cXNRWw+ogx0BYvkJXmCW0PX6EYwHBmcLiiSohDaWy4DSiQSdtjcYpnrUL1STFIjSRvByE3J3A4bt7IPyuRguDwryNp1Xl4Oh4IBF5qQFkI3DAYDFQqFjYu7w+HLpxdLsoPBAeX9QYGuTnmbgXLhcl3JFp+TAOu2ec/nc1UqFeNHJdm9sXy5mQb00DZzMxjmc7lcbiD9QCCgbDZryHQ+n1sqCVLnDgtSe/d1+BxelEwgELCaALUO/nTXCOTEfNAk4963C33AGXP5a1c6uc3g+VkT9qN7FqEpyNJoKKpWq/Zka5fb59yB8l1AdJ0BxmjnJegTsNHUHh4eqlqtqlAoKJfLKR6/fBafmxkRsDhT7pyTAXkBJ/YVe4SgSkYobV56L8ku0Hf3DEgXKpa97RZrvejUV3LAy+XSqu2u6Bm0gpaVNInvUfVlkokartPmd/gQLxtHs9m0FkD6y5EqoWggLcd5odzAQZL+wJfC57K5cSRegcBNDfkeIndQtKsIAQWiF2YTIkviIDA/bpaxbRx8FjYqDouIDAdLhkE0p+uMw4gDBpkzLpwlgWCbQYUgKaIw6xauQG/uHbmoQmhs4IAheXR14/BqXvIvNr/LiTKXzDGHjqdNgAJZI/d+Dpy466xwwF7oBofd6/VULBbtNZhDWuYTiYTxublcztRFoEqQHusjycZBFvayIhx7mcYOUnCoPNB8IBCwdXO1yKghmC+3wcptuCIDus5ms5kajcaGvI+WZ16L/Ye0E7XQcrm0TjcQKnsEtRFrShazzThT0KGcDzIrAgTNFcj12G9kzHxOzit7Ap/jUo/b7JUdMB8cesHV/cIF48D4YCy2WzDjMIJEcZjIXLwOGEU4UjU6ehDeU3nGAbnddUws6Rb0AA4HZ8nY6Yy5zlBzQMbzOfkKBAK2QXDEIPFkMmlX6K3Xa9OogvTcNIqUdVsk5SBRQOF3cDiIxUm7JFkDiKsXRr84nU6tuOI+8QCH4DUOKss4bwIxhQ7pxfPF2KyS7KL0RqNhxbh+v293cxAIcBJeHWi8JncnuPKhyeTyyQ/wzSAlCrME40gkosePHyuTydil7QRVtwD2MkqGII3+FyAgvXiY5NnZmcnh6EhDt4xEkKCVy+VMSsi+wrl6ZUhXO1JZZ7daz/dxRjh8QMZyeXk1abfbtTtF+CwEgE6n45kRcE5czpRMgwIwKgn2FAGB/Yd8EKBFEwXjd9U3XkaGS0EfWowLdEqlkilxyM7I1N3zSYGVswdylrQ1GGG/dicczgLpDNEyHA7r/PzcHBMpi+tUQX2gATaSW7hh8reNo9VqKRaLqdfrWaElGAyaY2Gc8J4UglwNJhwYHU+gD2QkXJ/o5XB43Xa7bZuAg8kh4d84OklWQAEpVqtVO/y0JrtctJsyXTUkc2ymdDptvBUHDcUK7Z3wni6CCwQCFrG5s5YUHPTk9Yw8NiRfHAj4f7Sn0AygOqRwOAHWDIdD04ab3oKKrrNIJGLKGgT/buZBbYAiJY0nrA+0jIvmWDeABKjRKzCyZlBszCcBmII1kjicEpclJZNJu6KT28/m87kFa4ALqqNthjOimYMUGXMRtCtrc3X9aLWfP39uQZysiT0/Go08nwlHEKBIBfrmoh8KpQCaBw8eWBbCrXkU9aEIucydfUpwdGm0q4b8FVkslORyudTnn3+u8/Nz44M/++wzLZdLVSoV657FbwFuKBQT6AlcKMC8nPArOWA0lEBw0BwfFO633+/bZcukd0QI+E23CwYejP8HZWxbSDYyFUmUFMFg0JADFdVut6uzszPjqdxDKMm0lZKskkoU9Wr/xdi8tC1yITML4f4dZMUBBoVTFOQAglxBUFc5q6tGKyv0CwgKhLJaraxoA/rEoZIGrtdrQxS0mRKMKP6gafbitMgKUBK4BQl0lfBiFFlAODjAo6MjqzDjwClokEV5PWsLbpsACFjgkHDRPJwjl9S7N56RyaEIgQsn3XSzjm3GPh6Px3Y5t/TiEUEEHGgILrYJBF7cGEfwxglyNSgHv9lsqtVqmVPaNg4cF3sMXhlFBk1QOCL3EV0Uz1k7AIck7e3tWW2o0WgYd3+dAQBQX6DZ5akvBCVkXKvVyu74rtVqtk+SyaQqlYqq1aoODg4Ui8XUbDZNzTGdTo2y2mYXFxdaLpc6Ojoy6oBMiO7eaDSq3d1d+53pdGoBm4uscK7cCOfWKMh+vzQHTArCxRg4F5AwKJZU1tXa8X9sCIp1oCQ2MxQHG33bQpZKJXMK9Xp948NzmLmw+uDgYGNz0ozBWAkGBAHkbIvFYuNZbleNQIKGknGAYHG8HFgCAGkVlWgQHhffIGfD2bD42+aD9Pn09NTaveGuOKzwlswrPK17yQrOhtZU9Kvw+khzvATugUDAHjvERpa0cQ9DNBo1SZh7Ax2cGeMD8boyttFo9NLMJBAImAbYrUnw82hgWRMC1s7Ojj2UEUTqBj6CIbwhlIoXRQVN5jYLgNDIiorFolET7AOKspKME4YqA1zUajXTtzP328aBkwSIoNuXLjMXujhnsxdPEGG/skZQHQRU7m+A9iOj8Dq36M/Jfjqdjj2Tj/WnQFosFnV0dGRXuUovaBscsXtuXaqP9brOoDBXq5UODg4ssBDg4vG4Go2Gzs/PTYHiFqUBJm5BGfoCmkSSms2mTk9Pv7wiHBwtB8BNrZFnBAIBu0eAiALXAqoFNZI64xg4OL/KpdugwuFwaH3uHDg2Urfb1Wg0MpE2YwFx0JnlPsDT1SK7KfJ15joXUkUCEVcIuotDW6KrInEdIcj+avHwZfrK1Wpldxog3ucQc50hHTxEcdYHrg9jzAQBUDVty8zjdQZ/2G631Wg0lMvl7OCQekM/cbcAB4iLUQjA4XBYhULB0K6rKccJewWkyWSier2uarW6UZCES6RusFqt7GkI8/nlI2XIUgiiHCoABIGf9dw2DlA2PDMo9+qdGBTZ0OS6dB5BnkyRw032d3FxYcVKL+6VOcBBIotkHXBWZF40fpCus0asI2qE1WqlJ0+eqNvtbih8to2DNL7ZbJoig1Zn1CU4dh7OgC6ZtnqyvEQiYb7C5XHZ+17UENw6nZ9udyK/z1qQjeB83VvrQqGQZY40w1C0o+PSC4m/sgNuNpuSXhwoNIHoR+H+XDkTGx/05RaIOORMIqkEjnrbOOA72aDNZtPSDpwXHCdKBvf/XXkXG4H3cyObe83dVaO1lAN6dnZmXJmrlyQiQ2uQ/hGoSFkoonH4mUuXG9tmSPK4J5Xn3JHis4F6vZ6lrzhUHCHoHYNDp+osXTYKoBa4auhvpUvZExuTtJ4Kviu/gqYhI4Ju4CBTwXfvSHgZ4uO9zs/P7bYrHBfZGgeI71EwhaYhTXe5Yz4jqJoD65X6c80lHX5ugGMcbsV8Pp9vFEiZHzIlrtSEFqJghRJo23yQTYDSIpHL+7GTyeRGJxq0i9s1RzYIP84tcgS509NTyya5WGjbfDAet1242+1aSg/dwfsjKYMSYayRSMQCG3UOAJPb7HSdkQ2iPabusFqt7JFP3FftUkAEBbIFiopkOiDwaDRq40mn05405is3YtAmygUyODQiNIgPB+tuYKIch89Nq9frtbUV8sRWrw1Fdx0FtLOzs41IHY1GN+5vdbWcHEKCCG2WFFbg1HhSq5cMrdPpbFTYLy4ulM/nbeE4QG5WwMHmcmdQ2VXpFGgRh+mVcudyOatAU2Dq9/uG9NBA82QB+HaKY8wD8wJidi/7ZpwuYnbN1U3jHKigu7IgV9DuIj+Kf/ybAg38OsXVXq9nGc82g/+mYORWp0F2HCoC7Gq1MnTOa7uaTv5k/gh6XhRVLpdTtVq1jkQcLo9Mwtnm83lVKhXjDF0azf0Z9oP7vL9sNvsFms01HIQrb4RKYZxucwvrSzbictA8OSMcDqvRaFh9hUyO19tmoO9AIGA38NXrdavdcC5c9Q1XUUL9cAEY590thsbjce3v73teogUQyufzJijAL1QqFdvjjIHgxX0QFO8bjYYpI8jOMG5CfOONN/Tpp59unY9XfiYc/NPFxYU5CC4O4bo9UAGOmPTHrRSySDgq94Jr7iXwSnXdVlkcD4iCtkGoEcaNIoONDcfHgaKYxuPAi8Widnd3tx4wdIig/OVyac/5ApWDsN3rDLm8yL1Fjs/KASFCE2mhaLYZB5Mi6a1btzYaG5D80FkEouOgg2oJoPweFeJwOGybyisgtdttC1pICqFVkD0tl0urxrsoHykViJwgQtZFYJlMJlbAvc7IbIrFonFwh4eH5oC63a41JUA9gK75Pg0rrJl7PanbwYh64joj8yMbaTQams8vn70H7cX7ufPhfg64VgpQg8FAx8fHOj4+VqvVstbc3d1dTwcMp7u3t2epPefBvc8BUAKgwOmFw2Ht7OzYUyCePn2qk5MT05dz0XqtVtu6R5nL3d1de/gqFE2tVtPu7q5RXDhTXhf9r8vbuyCO73M5EAFl23wEApcPJr1165Z9H5qQ4O3K2dijgD80zShUXAkaWUkikdDdu3e3ZozSr+GAEY3DmbARu92uTk9PJcm6V0j1XZ0wAnc+CBVft3kCB+GVcqMPpUJKUZDnTIHMKegQFEDpjM/tywehd7tde74cqobrDMkLn1mSFQVxrjhYaAecL4iTn+Hggdro1mLzU6y8ztbrtZ49e6af/exnajQaun37tv0OxQacARQIgnvUGS66I70FfTKXvwq31m63NwqpLufO+6KSYF4IkBTbkCy2223VajUtFpe3dtGKWiwW7Raq62w+v7zdi/U5Pj5WNHr5hOd4PG58Ml2KsVjMnhrtXjTO/uNzwD0DAJgPL4qKIhJyuEqlorOzM3OeKAB4H0l2jaekjeDc6XR0enqqzz77TE+ePNF6vValUtH777/vKQ9kvSqViu7du2cZycnJiSTp4OBAR0dHdl5YD7IUmhZAfhcXF3r06JE9RJXiLcBmW0Bi/YvFoiqVihqNhqXrzWbTzgiFNMAUewJaAs4cagw+/M6dO3r77beVTCbtQaLXmZulk8FAfT59+tQCnlvbkmTUEzQeWnVkaICU6XRqz7J7//33t+5T6ddwwKTRkuwmeKJ4q9UyR8HhcgsZHHKkIhSEkJLhmNH7bUshSJ8odkGAn52d6e23397gZiky0f3DF84NyQuSr8Xi8mrCO3fu6O7du54cDqgOp8rrXVxc2KN2arWaaTfT6bQVeeCtcMKgM74PMiNweB2w6XSqv/iLv9DJyYkV5Lj/AakRD5mEHoDn4sBw+KCAptOpCePhUaFWvIosaLnZvByUyWRi/B5z7/LCOG0QcqfT0ePHj62IwVzv7u7qrbfeUqlU0h/8wR9cOw7QSTQaVblcVqPRsHsG0um0OVMKwRTGkLYRkNjDboZEoQ5n4NUZGAqFdPv2bWWzWXsmHM0cjx8/NtpsuVwa7YHzIzCu12srNDUaDdOpMm9vvfWW7t+/rz/5kz/Zuk9RdBwdHeno6Eij0UgPHz7UxcWFoVy4TQKT21HJuaSIy2VbzOHOzo7N2a1bt7ZmJqwhzRduIS8cDhu1wlNKXK2te+cCl/OgJW6325pOp/aMwfV6rYuLi63dcAAwEDhImoug0B1DQUgv7sbAL3HbHlkEap12u63d3V3t7+/rW9/6lg4ODrbOh/RrOODbt29bKnB2dmYHlvtk+eBcUQkdQNRyCwj1el0nJye2sVFEvMzh4JykywoqvBnV76v93Ly/2x7rNhlQgIEz3d3d1a1bt3RwcLBxf+1VA1m6VWYed39xcbGhrGCBcQKMw5UbuWgKHjAajdrj4rfNBzfAoWFkg5fLZaton5+f2+dzHwzqfkFZuDdPgQZ4lL1XpxPOjLUHXRAwp9OpybxIMSnO8vtoX5vNpnUp0kSyv7+vr3zlKzo6OjK0fp2RflLIopLNo7TIerhEn4dkIsFy9whfFIVzuZx2d3ft9jH38qLrDF707bfftsAExcNdtswLwRCpGDQcNB23+R0dHZmG+bd+67cUCoXscqHrDARLoYvuToLjYnF5q9nR0ZEk2fltNBrG/yPPBCCg1yV7kGRFKq9MjQIbD7nkJjFanClos2eQmJEdQ4246Hc+n+utt97S4eGh1uu1Hj16pLOzM0/KDj4XB+zSlCcnJ3YeUEu4WSrNRGRSFOC4sKlUKumrX/2q7ty5Y0qwbfbK9wG/+eabajabFjlJy6QXj/rAobKRccJEkMFgYEUJDjqqBqRMXnIWl8NJJBL2rKpyuaxcLmdIqtFoGKp0C044KQoy8EukttFoVHfv3lW5XLbOMa+FRMbCQeBQuV027XbbFglpGEFJkiFM5mwymahQKFhxks1/nYFwdnZ2NJ/PdXBwoHA4rEqlYvpaFCZIaEiz3QCFtpEKNU+UPjg4sP54d8xXzdWWMn4QL09OcHvwe72egsGgrRcbnoIczyFbrVba3d1VpVKxKvWzZ8887z8ASaNiOTk5MXBA5xZICooBmoSARIZAyh6LxawleTweeypkJFkh0330OlJJCs6dTkcPHz60whNKAvaBqxqSpNdff910sXfv3tXu7q6Gw6Fu3769dSxkdrxWq9Wyh5GGQiGj8ZBCLpdLnZ+fm7oBFQuZLOceqSCSMIpbXhTV7u6udnd3FY1G9cEHH+h//+//bRkS+4v1qNfrG3dRUEtAfkoA2N/f1/vvv69yuaynT5/q5z//uT3Zeds4kMN1Oh3t7e3ZmKPRqD1vj4Dm1mA4TzhfrgOVLussh4eH+va3v60PP/zQugm9HHDAi2f9wg8HAnVJT3/lX/g/t9fW63XFH4c/Dn8c/jj+vzYO6RUdsG+++eabb1+eeV904Jtvvvnm2/818x2wb7755tsNme+AffPNN99uyHwH7Jtvvvl2Q+Y7YN988823GzLfAfvmm2++3ZD5Dtg333zz7YbMd8C++eabbzdkvgP2zTfffLsh+38AKc4hsw5VOnwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(2, 10, subplot_kw={'xticks': [], 'yticks': []})\n",
    "for i in range(10):\n",
    "    axes[0, i].imshow(X[i, :].reshape(62, 47), cmap='binary_r')\n",
    "    axes[1, i].imshow(T[i, :].reshape(62, 47), cmap='binary_r')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "8280abfb-3297-4038-acd3-af1bba140c24",
   "metadata": {},
   "outputs": [],
   "source": [
    "def psnr(img1, img2):\n",
    "    mse = np.mean((img1/255 - img2/255) ** 2)\n",
    "    if mse < 1e-10:\n",
    "        return 100\n",
    "    return 20 * math.log10(1 / math.sqrt(mse))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "901c8e0f-f856-447c-8e75-d647cc23f288",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.9375126340784985\n",
      "6.70786437043783\n",
      "12.3276516057555\n",
      "7.648685877882897\n",
      "8.129692480447718\n",
      "9.901822078948594\n",
      "4.29360127428338\n",
      "8.998234819122704\n",
      "9.371819568755463\n",
      "2.0304821892311256\n"
     ]
    }
   ],
   "source": [
    "for i in range(10):\n",
    "    print(psnr(X[i, :], T[i, :]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9ff0a44f-ffc4-41f6-8ec5-628105e06c4c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
